Let X be a Poisson random variable with mean 20.(a) Use the Markov inequality to obtain an...

Let X be a Poisson random variable with mean 20.

(a) Use the Markov inequality to obtain an upper bound on

p = P{X ≥ 26}

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(b) Use the one-sided Chebyshev inequality to obtain an upper bound on p.

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(c) Use the Chernoff bound to obtain an upper bound on p.

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(d) Approximate p by making use of the central limit theorem.

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(e) Determine p by running an appropriate program.